Pith Number

pith:42F4VW7S

pith:2015:42F4VW7SPLTNBCTWNMO5TR2OHZ

not attested not anchored not stored refs pending

$S^1$-equivariant Chern-Weil constructions on loop space

Thomas McCauley

arxiv:1507.08626 v2 · 2015-07-30 · math.DG · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42F4VW7SPLTNBCTWNMO5TR2OHZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:14:17.959499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e68bcadbf27ae6d08a766b1dd9c74e3e5a6f7ced05ed8763efc8b2344ba51d0a

Aliases

arxiv: 1507.08626 · arxiv_version: 1507.08626v2 · doi: 10.48550/arxiv.1507.08626 · pith_short_12: 42F4VW7SPLTN · pith_short_16: 42F4VW7SPLTNBCTW · pith_short_8: 42F4VW7S

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/42F4VW7SPLTNBCTWNMO5TR2OHZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e68bcadbf27ae6d08a766b1dd9c74e3e5a6f7ced05ed8763efc8b2344ba51d0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "688f2a8cce62402dd6841b5a532d2b56dd8d5a3a45ed711039d079adc804a298",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-30T18:54:31Z",
    "title_canon_sha256": "30a49f5d6525ef7f3f4349933f08818b0939a1a5df5b75d016173ff919a1d2a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08626",
    "kind": "arxiv",
    "version": 2
  }
}